Combinatorial derived invariants for gentle algebras

被引：33

作者：

Avella-Alaminos, Diana ^{[1
]}

Geiss, Christof

机构：

[1] Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Mexico City 04510, DF, Mexico

[2] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2008年 / 212卷 / 01期

关键词：

D O I：

10.1016/j.jpaa.2007.05.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define derived equivalent invariants for gentle algebras, constructed in an easy combinatorial way from the quiver with relations defining these algebras. Our invariants consist of pairs of natural numbers and contain important information about the algebra and the structure of the stable Auslander-Reiten quiver of its repetitive algebra. As a by-product we obtain that the number of arrows of the quiver of a gentle algebra is invariant under derived equivalence. Finally, our invariants separate the derived equivalence classes of gentle algebras with at most one cycle. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：228 / 243

页数：16

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